Different registries have different requirements for foals resultant from artificial insemination using frozen semen. All have in common the fact that a foals is registered in the registry with which its dam is approved. The sire of the foal must also be approved by the registry the foal will be registered with. Mares and stallions can be approved by more than one registry, allowing a breeder to produce either a Hanoverian foal or an Oldenburg foal from the same parents, for example. Still, the foal, mare and stallion can only have actual registration papers with one registry.
Consult the registry with which you intend to register the foal to determine their requirements. Some registries require the semen broker to file a stallion report, others do not. Some require an insemination certificate signed by the veterinarian or technician who performed the insemination, others do not. Most now only require the breeder to download and fill out a "frozen semen form." Though your semen broker usually understands the requirements of your registry, it is the breedersresponsibility to be sure all requirements are met in a timely manner. Call the registry before you breed to ascertain their requirements.